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Simplifying 0 = -12x2 + 156x Reorder the terms: 0 = 156x + -12x2 Solving 0 = 156x + -12x2 Solving for variable 'x'. Remove the zero: -156x + 12x2 = 156x + -12x2 + -156x + 12x2 Reorder the terms: -156x + 12x2 = 156x + -156x + -12x2 + 12x2 Combine like terms: 156x + -156x = 0 -156x + 12x2 = 0 + -12x2 + 12x2 -156x + 12x2 = -12x2 + 12x2 Combine like terms: -12x2 + 12x2 = 0 -156x + 12x2 = 0 Factor out the Greatest Common Factor (GCF), '12x'. 12x(-13 + x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13Solution
x = {0, 13}
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